A particle, attached to one end of a string of length , moves in a vertical
circle. The other end of the string is fixed. If the ratio of maximum to
minimum tension in the string is 5:3, the speed of the particle at the
lowest point is
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Explanation:
Since, the string has to be taut for the mass to complete its circular motion, the tension in the string at its topmost point can be at minimum equal to zero.
∴T=
l
mV
B
2
+mgcos(180
o
)=0
⟹
l
mV
B
2
=mg
⟹V
B
2
=gl
⟹V
B
min
=
gl
This is the minimum speed the string of rod, must have at its highest point.
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